In 2016, there were about 36 million teenagers (ages 13-17) in the United States. They each sent an average of 850 text messages per month. How many text messages did all of the teenagers in the United States send each month? Express your answer in scientific notation

Answer:Please see explanation for answer.

Step-by-step explanation:

Simplifying the expression

5 + 4) 2− 5 × 2

Carl's method

(5 + 4) 2− 5 × 2 -----first error was taking only 4 from the bracket and squaring it.

Instead of solving the bracket as a whole before solving outside. And once she got it wrong from the start, every other solving would be wrong

(5 + 16) − 5 × 2

21 − 5 × 2

16 × 2

32

The right method

In simplifying the expression, we must bring in Mind our Bodmas

Which means we tackle Brackets before division, then multiplication , then addition and lastly subtraction.

(5 + 4) 2− 5 × 2

Solving the bracket first we have

(9)2-5x2

Since there is no division, we move to multiplication and we can see two sites for multiplication(9 x 2 and 5x2)

18-10

Subtracting will give us 8 as our answer.

Answer:

The answer is 17.53 percent.

Step-by-step explanation:

Good luck!

Answer:

120

Step-by-step explanation:

1/3x-8=32

1/3x=32+8

1/3x=40

x=40/(1/3)

x=(40/1)(3/1)

x=120/1

x=120

Answer:

Yes it is improper fraction

Answer:

Emily's investment = $8,000

Step-by-step explanation:

Let Emily's invested amount = x

Let Samira's amount = y

8% of Emily's amount = 8/100 × x = 0.08x

9% of Samira's amount = 9/100 of y = 0.09y

∴ 0.08x + 0.09y = 1720

multiplying through by 100

8x + 9y = 172000 - - - - - (1)

7% of Emily's amount = 0.07x

6% 0f Samira's amount = 0.06y

0.07x + 0.06x = 1280

multiplying through by 100

7x + 6y = 128000 - - - - - - (2)

Next, let us subtract eqn 2 from eqn 1

equation (1) - equation 2

    8x + 9y = 172000

-

    7x + 6y = 128000

=     x + 3y = 44000 - - - - (3)

from eqn (3) x = 44000 - 3y - - - - - (4)

putting this value of x into eqn 1

8x + 9y = 172000

8 (44000 - 3y) + 9y = 172000

352000 - 24y + 9y = 172000

-15y = 172000 - 352000 = -180000

y = 180000 ÷ 15

y = $12,000

finding x using eqn (4)

x = 44000 - 3y

x = 44000 - 3(12000)

x = 44000 - 36000

x = $8,000

∴ Emily's investment = $8,000

Answer:21

Step-by-step explanation:

Answer:

Just read and study on you lesson/book and take notes

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Answer:

t = 28

Step-by-step explanation:

56 = 2t

t = 56 / 2

t = 28

Hope that helps!

Answer: t= 28

Step-by-step explanation:

Isolate t by dividing both sides by 2.

9514 1404 393

Answer:

  12

Step-by-step explanation:

Maybe you want the equivalence ...

  1 : 4 = 3 : 12

(Multiply both reduced ratio numbers by 3.)

Answer:

nonlinear

Step-by-step explanation:

Answer:

42 yd

Step-by-step explanation:

Formula for the area of a rhombus is the length times the width, all divided by 2. A is given as 26, and the total is 546, so the equation is set up like this:

[tex]\frac{26d}{2} =546[/tex]

(Solving for d)

First, multiply both sides by 2 to get:

26d = 1,092

Then, divide both sides by 26 to isolate the variable d:

d = 42

Answer:

The answer is (3,-2)

Step-by-step explanation:

[tex] \frac{1}{3} x - 3 = - 2x + 4 \\ \frac{1}{3} x + 2x = 7 \\ \frac{7}{3} x = 7 \\ x = 3 \\ then \: \\ y = - 2[/tex]

Area = length x width

60 = (x+5) (x-2)

60 = x^2 + 3x -10

Subtract 60 from both sides:

x^2 +3x -70 = 0

Solve for x by finding 2 numbers when added together = 3 and when multiplied by each other = -70

x = -10 and 7

Since the sides have to be a positive number we need to use 7

The length = x+5 = 7+5 = 12 cm

The width = x-2 = 7-2 = 5 cm

Answer:

21\deg 17'34"

Step-by-step explanation:

21\deg 17'34" i thin k

Answer:

70+5+0.8+0.05+0.004

Step-by-step explanation:

Answer:

Part I:

1. binomial

2. trinomial

3. monomial

4. monomial

Part ll :

5. 8xy2 + 6xy + 5y + 12

6. 9x4 + 3x7 - 4x2 + 34x

Part lll:

7. (p3+5p2+9p-6)+(5p3-8p+1)

= p3 + 5p2 + 9p - 6 + 5p3 - 8p + 1

= 6p3 + 5p2 + p - 5 ( add all the like terms i. e. those terms having the same power)

8. (2p4+3p+9) +(4p4+3p3+p)

= 2p4 + 3p + 9 + 4p4 + 3p3 + p

= 6p4 + 3p3 + 4p + 9 ( adding all the like terms i. e. those terms having same power )

Hope this helped you

Hope this helped you ALL THE BEST !!

Answer:

3 : 2

Step-by-step explanation:

Given

[tex]\frac{1}{2}[/tex] : [tex]\frac{1}{3}[/tex] ( multiply both parts of the ratio by 6 , the LCM, of 2 and 3 )

= 3 : 2

1/2:1/3

multiply the first fraction by the inverse of the second

1/2×3/2=3/2

the answer is 3:2

Answer: option 3

Step-by-step explanation:

Answer:

The quadratic equations and their solutions are;

9 ± √33 /4 = 2x² - 9x + 6.

4 ± √6 /2 = 2x² - 8x + 5.

9 ± √89 /4 = 2x² - 9x - 1.

4 ± √22 /2 = 2x² - 8x - 3.

Explanation:

Any quadratic equation of the form, ax² + bx + c = 0 can be solved using the formula x = -b ± √b² - 4ac / 2a. Here a, b, and c are the coefficients of the x², x, and the numeric term respectively.

We have to solve all of the five equations to be able to match the equations with their solutions.

2x² - 8x + 5, here a = 2, b = -8, c = 5.                                                  x = -b ± √b² - 4ac / 2a = -(-8) ± √(-8)² - 4(2)(5) / 2(2) = 8 ± √64 - 40/4.     24 can also be written as 4 × 6 and √4 = 2. So                                                                                     x = 8 ± 2√6 / 2×2= 4±√6/2.

2x² - 10x + 3, here a = 2, b = -10, c = 3.                                                   x =-b ± √b² - 4ac / 2a =-(-10) ± √(-10)² - 4(2)(3) / 2(4) = 10 ± √100 + 24/4. 124 can also be written as 4 × 31 and √4 = 2. So                                                                              x = 10 ± 2√31 / 2×2 = 5 ± √31 /2.

2x² - 8x - 3, here a = 2, b = -8, c = -3.                                                    x = -b ± √b² - 4ac / 2a = -(-8) ± √(-8)² - 4(2)(-3) / 2(2) = 8 ± √64 + 24/4.     88 can also be written as 4 × 22 and √4 = 2. So                                                                             x = 8 ± 2√22 / 2×2 = 4± √22/2.

2x² - 9x - 1, here a = 2, b = -9, c = -1.                                                     x = -b ± √b² - 4ac / 2a = -(-9) ± √(-9)² - 4(2)(-1) / 2(2) = 9 ± √81 + 8/4.                                          x = 9 ± √89 / 4.

2x² - 9x + 6, here a = 2, b = -9, c = 6.                                                    x = -b ± √b² - 4ac / 2a = -(-9) ± √(-9)² - 4(2)(6) / 2(2) = 9 ± √81 - 48/4.                                                                             x = 9 ± √33 / 4 .

Step-by-step explanation:

Answer with Explanation:

To qualify as a function, each x value may not have more than 1 Y value.

This rules out A, B, and D.

The answer is C.

Why is A incorrect? -5 (the x value) has more than one y value so it is wrong.

Why is B incorrect? 9 (the x value) has more than one y value so it is wrong.

Why is D incorrect? -7 (the x value) has more than one y value so it is wrong.

You can also use the vertical line test to graph these pairs. Then, test by drawing a vertical line through the graph. If the vertical line goes through more than 1 pair, it is not a function.

Answer:

2. $76.5

3. $10.12

Step-by-step explanation:

2. 110 × .35 = 38.5

110 - 38.5 = 71.5

71.5 × 1.07 = 76.50

3. 9 × 1.04 = 9.36

9.36 × 1.04 = 9.73

9.73 × 1.04 = 10.12

good luck, i hope this helps :)

2)76.5     110*0.35= 38.5,   110-38.5=71.5*0.07=5.005 or 5,  71.5+5=76.5

3)10.12    y1:9.36, y2:9.73, y3:10.12

4)28 minutes   32*0.08=2.56, 32-2.56=29.44*0.05=1.472, 29.44-11.472=27.968

5)$84   875*0.2=175,    875+175=1050*0.08=84

6)$467.04  562*0.2=112.4, 562-112.4= 449.6*0.06=26.976+449.6=

476.576*0.02=9.53152, 476.576-9.53152=476.04

7)store A, $12.24 a)612*0.3=183.6, 612-183.6=428.4

       b)612*0.2=122.4, 612-122.4=489.6*0.1=48.96 489.60-48.96=440.64

          440.64-428.4=12.24

8)$37.51  tip:32.57*0.18=5.86

   32.57*0.1=3.26,  32.57-3.26=29.31*0.08=2.34, 29.31+2.34+5.86=37.51

9) going of $100 as the price the overall 25% discount to get a final price of $75 would be of a better value, because when you calculate the other 2 options you get the same answer of $76.5.

Answer:

213

Step-by-step explanation:

Answer:

213

Step-by-step explanation:

Answer:

11/4

Step-by-step explanation:

3/2 can be re-written as 6/4. they now have the same denominator. 6/4 + 5/4 = 11/4

Answer: it's 3 to 1

Step-by-step explanation: 3 red to 1 blue just trust in the process ill explain in the comments so you get this answer fast

Answer:

Answer:

Step-by-step explanation:

Hello!

Have a great day!

Answer:

d = 19.8 cm

Step-by-step explanation:

Use the law of cosines

[tex]d^{2} = e^{2} + f^{2} -2ef cos D\\d^{2} = 10^{2} + 14^{2} -2(10)(14) cos 110\\[/tex]

    = 100 + 196 - 280 cos 110

    = 296 - (-95.765640)

    = 391.765640

[tex]d = \sqrt{391.7656401}[/tex]

  d = 19.8 cm

Answer:

C

Step-by-step explanation:

Brainliest please

Answer:

each van carries 7 students

each bus carries 60 students

Step-by-step explanation:

let v = # students in a van

let b = # students in a bus

system of equations:

13v + 2b = 211

4v + 4b = 268

I multiplied the 1st equation by -2 to eliminate the 'b' terms

 -26v - 4b = -422

+ 4v  + 4b = 268

-22v = -154

v = 7

substitute  '7' for 'v':

4(7) + 4b = 268

28 + 4b = 268

4b = 240

b = 60

Answer:

13v + 2b = 211

4v + 4b = 268

#students each VAN can carry:   7

#students each BUS can carry: 60

Step-by-step explanation:

Let v = number of students in each van.

Let b = number of students in each bus.

High School A:

13v + 2b = 211

High School B:

4v + 4b = 268

The system of equations is

13v + 2b = 211

4v + 4b = 268

We will solve this system of equation with the addition method.

Write the first equation as it is. Divide both sides of the first equation by 2 and write it below the first equation. Then add the equations.

        13v + 2b = 211

(+)     -2v - 2b = -134

----------------------------

        11v         = 77

Divide both sides by 11.

v = 7

Substitute 7 for v in the first original equation and solve for b.

13v + 2b = 211

13(7) + 2b = 211

91 + 2b = 211

Subtract 91 from both sides.

2b = 120

Divide both sides by 2.

b = 60

Answer:

13v + 2b = 211

4v + 4b = 268

#students each VAN can carry:   7

#students each BUS can carry: 60

Answer:

6ml

Step-by-step explanation:

Answer:

if 0.006 l= 6ml

Step-by-step explanation:

Answer:

24 ft²

Step-by-step explanation:

The formula to solve for area of a triangle is: [tex]\frac{1}{2} bh[/tex]. First multiply the base x height: 12 x 4 = 48. Now multiply by 1/2: 48 x 1/2 = 24. Your answer is 24 ft².

Hope it helps and is correct!